Instructions- Calculate this ANOVA by hand. Check your work by also calculating the ANOVA in SPSS or EXCEL. Be sure to do any multiple comparison tests and interpret the results.
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Control GroupA1
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PsychoanalysisA2
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CBTA3
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X1
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7
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7
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3
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X2
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10
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5
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3
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X3
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6
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6
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2
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X4
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8
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5
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3
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X5
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10
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5
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4
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X6
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10
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6
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2
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X barA1
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SX (A1)
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SX2
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SST = SX2 - T2/an (also called [X] - [T])
SST = (a = number of groups, n = number in each group)
SST =
SSA = SA2 - T2 (also called [A] - [T])
n an
SSA =
SSA =
SSS/A = SX2 - SA2 (also called [Y] - [A] )
N
SSS/A =
Now divide by its df to change it to variance. Variance is called Mean Square. Complete ANOVA summary table on next page.
ANOVA Summary Table
Source SS df MS F
A-group
S/A (error)
Total
Find F-critical.
Are the groups significantly different?
Write the results statistically.
What do you do next? Why?
Which groups are different?